{"id":"https://openalex.org/W2539825244","doi":"https://doi.org/10.1051/ro/2015056","title":"Complexity analysis of interior point methods for linear programming based on a parameterized kernel function","display_name":"Complexity analysis of interior point methods for linear programming based on a parameterized kernel function","publication_year":2015,"publication_date":"2015-11-17","ids":{"openalex":"https://openalex.org/W2539825244","doi":"https://doi.org/10.1051/ro/2015056","mag":"2539825244"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2015056","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2015056","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2015056.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082262477","display_name":"Mousaab Bouafia","orcid":"https://orcid.org/0000-0002-8899-4630"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["DZ","FR"],"is_corresponding":false,"raw_author_name":"Mousaab Bouafia","raw_affiliation_strings":["LabCAV, Laboratory of Advanced Control, University of 8 May 1945 Guelma. BP 401, 24000 Guelma, Algeria","Normandie Univ, LMAH \u2013 ULH, FR CNRS 3335, 25 rue Philippe Lebon, 76600 Le Havre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LabCAV, Laboratory of Advanced Control, University of 8 May 1945 Guelma. BP 401, 24000 Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]},{"raw_affiliation_string":"Normandie Univ, LMAH \u2013 ULH, FR CNRS 3335, 25 rue Philippe Lebon, 76600 Le Havre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I141576021","https://openalex.org/I4210105918"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075788164","display_name":"Djamel Benterki","orcid":null},"institutions":[{"id":"https://openalex.org/I40193446","display_name":"University Ferhat Abbas of Setif","ror":"https://ror.org/02rzqza52","country_code":"DZ","type":"education","lineage":["https://openalex.org/I40193446"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Djamel Benterki","raw_affiliation_strings":["L.M.F.N, Laboratory of Fundamental and Numerical Mathematics, University Setif 1, 19000 Setif, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L.M.F.N, Laboratory of Fundamental and Numerical Mathematics, University Setif 1, 19000 Setif, Algeria","institution_ids":["https://openalex.org/I40193446"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109041453","display_name":"Adnan Yassine","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adnan Yassine","raw_affiliation_strings":["Normandie Univ, LMAH \u2013 ULH, FR CNRS 3335, 25 rue Philippe Lebon, 76600 Le Havre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Normandie Univ, LMAH \u2013 ULH, FR CNRS 3335, 25 rue Philippe Lebon, 76600 Le Havre, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I141576021","https://openalex.org/I4210105918"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4389,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.6744921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"50","issue":"4-5","first_page":"935","last_page":"949"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9721999764442444,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9631999731063843,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8417150974273682},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6891491413116455},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6749045848846436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6267193555831909},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5777573585510254},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5527540445327759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49504247307777405},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4680247902870178},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44085195660591125},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.43652328848838806},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3540039658546448},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33055394887924194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31535619497299194},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10928523540496826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05962890386581421}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8417150974273682},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6891491413116455},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6749045848846436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6267193555831909},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5777573585510254},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5527540445327759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49504247307777405},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4680247902870178},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44085195660591125},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.43652328848838806},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3540039658546448},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33055394887924194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31535619497299194},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10928523540496826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05962890386581421},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ro/2015056","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2015056","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2016__50_4-5_935_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2015056/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2015056.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:HAL:hal-01509677v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01509677","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RAIRO - Operations Research, 2016, 50 (4-5), pp.935 - 949. ⟨10.1051/ro/2015056⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_2016__50_4-5_935_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2015056/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2015056.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2539825244.pdf","grobid_xml":"https://content.openalex.org/works/W2539825244.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1493426390","https://openalex.org/W1509805685","https://openalex.org/W1514645957","https://openalex.org/W1518039036","https://openalex.org/W1546612351","https://openalex.org/W1573409602","https://openalex.org/W1801355583","https://openalex.org/W1996119919","https://openalex.org/W2011694001","https://openalex.org/W2036622774","https://openalex.org/W2059947385","https://openalex.org/W2076680677","https://openalex.org/W2078688491","https://openalex.org/W2080700992","https://openalex.org/W2095236018","https://openalex.org/W2112079301","https://openalex.org/W2131995325","https://openalex.org/W2145583730","https://openalex.org/W2154587717","https://openalex.org/W2204863336","https://openalex.org/W2611147814","https://openalex.org/W4244832091"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2094757704","https://openalex.org/W2114808974","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W2204863336"],"abstract_inverted_index":{"Kernel":[0],"function":[1,65,101],"plays":[2],"an":[3],"important":[4],"role":[5],"in":[6,72,108],"defining":[7],"new":[8],"search":[9],"directions":[10],"for":[11,16,30,95,123],"primal-dual":[12,91],"interior":[13,92],"point":[14,93],"algorithm":[15],"solving":[17],"linear":[18,96],"optimization":[19],"problems.":[20],"This":[21,98],"problem":[22],"has":[23],"attracted":[24],"the":[25,63,89,103],"attention":[26],"of":[27,35,47],"many":[28],"researchers":[29],"some":[31],"years.":[32],"The":[33],"goal":[34],"their":[36],"works":[37],"is":[38],"to":[39,61],"find":[40],"kernel":[41,64,100],"functions":[42],"that":[43],"improve":[44],"algorithmic":[45],"complexity":[46,105],"this":[48,51],"problem.":[49],"In":[50],"paper,":[52],"we":[53],"introduce":[54],"a":[55],"real":[56],"parameter":[57],"p":[58],">":[59],"0":[60],"generalize":[62],"(5)":[66],"given":[67,107],"by":[68],"Bai":[69],"et":[70],"al.":[71],"[Y.Q.":[73,109],"Bai,":[74,110],"M":[75,111],"El":[76,112],"Ghami":[77,113],"and":[78,87,114,126],"C.":[79,115],"Roos,":[80,116],"SIAM":[81,117],"J.":[82,118],"Optim.":[83,119],"15":[84,120],"(2004)":[85,121],"101\u2013128.],":[86],"give":[88],"corresponding":[90],"methods":[94],"optimization.":[97],"parameterized":[99],"yields":[102],"similar":[104],"bound":[106],"101\u2013128.]":[122],"both":[124],"large-update":[125],"small-update":[127],"methods.":[128]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}